A perturbative determination of mass dependent O(a) improvement coefficients in a relativistic heavy quark action

被引：25

作者：

Aoki, S ^{[1
]}

Kayaba, Y

Kuramashi, Y

机构：

[1] Univ Tsukuba, Inst Phys, Tsukuba, Ibaraki 3058571, Japan

[2] KEK, High Energy Accelerator Res Org, Inst Particle & Nucl Studies, Tsukuba, Ibaraki 3050801, Japan

来源：

NUCLEAR PHYSICS B | 2004年 / 697卷 / 1-2期

关键词：

D O I：

10.1016/j.nuclphysb.2004.07.017

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We present the results for a perturbative determination of mass dependent improvement coefficients nu, r(s), C-E and C-B in a relativistic heavy quark action, which we have designed to control m(Q)a errors by extending the on-shell O(a) improvement program to the case of m(Q) much greater than A(QCD), where m(Q) is the heavy quark mass. The parameters nu and r(s) are determined from the quark propagator and C-E and c(B) are from the on-shell quark-quark scattering amplitude. We show that all the parameters, together with the quark wave function and the mass renormalization factors, are determined free from infrared divergences once their tree level values are properly tuned. Results of these parameters are shown as a function of m(Q)a for various improved gauge actions. (C) 2004 Elsevier B.V. All rights reserved.

引用

页码：271 / 301

页数：31

共 20 条

[1] Perturbative renormalization factors of bilinear quark operators for improved gluon and quark actions in lattice QCD [J].

Aoki, S ;

Nagai, K ;

Taniguchi, Y ;

Ukawa, A .

PHYSICAL REVIEW D, 1998, 58 (07)

[2] I=2 pion scattering phase shift with Wilson fermions -: art. no. 014502 [J].

Aoki, S ;

Fukugita, M ;

Hashimoto, S ;

Ishikawa, KI ;

Ishizuka, N ;

Iwasaki, Y ;

Kanaya, K ;

Kaneko, T ;

Kuramashi, Y ;

Lesk, V ;

Okawa, M ;

Taniguchi, Y ;

Ukawa, A ;

Yoshié, T .

PHYSICAL REVIEW D, 2003, 67 (01)

[3] Perturbative determination of four parameters in relativistic heavy quark action [J].

Aoki, S ;

Kuramashi, Y .

NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 2003, 119 :583-585

[4] Relativistic heavy quarks on the lattice [J].

Aoki, S ;

Kuramashi, Y ;

Tominaga, S .

PROGRESS OF THEORETICAL PHYSICS, 2003, 109 (03) :383-414

[5]

AOKI S, HEPLAT0306015, P14008

[6] Renormalization group flow of SU(3) lattice gauge theory.: Numerical studies in a two coupling space [J].

de Forcrand, P ;

Pérez, MG ;

Hashimoto, T ;

Hioki, S ;

Matsufuru, H ;

Miyamura, O ;

Nakamura, A ;

Stamatescu, IO ;

Takaishi, T ;

Umeda, T .

NUCLEAR PHYSICS B, 2000, 577 (1-2) :263-278

[7] Massive fermions in lattice gauge theory [J].

ElKhadra, AX ;

Kronfeld, AS ;

Mackenzie, PB .

PHYSICAL REVIEW D, 1997, 55 (07) :3933-3957

[8]

IWASAKI Y, 1983, UTHEP118

[9] Light hadron spectroscopy with two flavors of dynamical quarks on the lattice (vol 65, art no 054505, 2002) -: art. no. 059901 [J].

Khan, AA ;

Aoki, S ;

Boyd, G ;

Burkhalter, R ;

Ejiri, S ;

Fukugita, M ;

Hashimoto, S ;

Ishizuka, N ;

Iwasaki, Y ;

Kanaya, K ;

Kaneko, T ;

Kuramashi, Y ;

Manke, T ;

Nagai, K ;

Okawa, M ;

Shanahan, HP ;

Ukawa, A ;

Yoshié, T .

PHYSICAL REVIEW D, 2003, 67 (05)

[10] Light hadron spectroscopy with two flavors of dynamical quarks on the lattice -: art. no. 054505 [J].

Khan, AA ;

Aoki, S ;

Boyd, G ;

Burkhalter, R ;

Ejiri, S ;

Fukugita, M ;

Hashimoto, S ;

Ishizuka, N ;

Iwasaki, Y ;

Kanaya, K ;

Kaneko, T ;

Kuramashi, Y ;

Manke, T ;

Nagai, K ;

Okawa, M ;

Shanahan, HP ;

Ukawa, A ;

Yoshié, T .

PHYSICAL REVIEW D, 2002, 65 (05)

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